Improved cluster model. Top panel: number density of sources as function of flux. The solid orange (red) line shows the prediction of the model before (after) applying the correction. The shaded areas in blue, orange, and red denote the logN–logS from Finoguenov et al. (2007, 2015, 2020). The green and blue lines show a comparison to Le Brun et al. (2014) and Liu et al. (2022a). The dashed pink and brown lines denote the model corrected for higher mass thresholds. Bottom panel: relation between X-ray luminosity and mass. The blue (orange) shaded area shows the prediction of the model before (after) applying the correction. The green shaded area denotes the relation from Le Brun et al. (2014). Additional samples are shown by blue circles (Lovisari et al. 2020), orange circles (Adami et al. 2018), green squares (Lovisari et al. 2015), red circles (Schellenberger & Reiprich 2017a), pink stars (Bulbul et al. 2019), and brown squares (Mantz et al. 2016).